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Simplifying (5y + -4)(7 + y) = 0 Reorder the terms: (-4 + 5y)(7 + y) = 0 Multiply (-4 + 5y) * (7 + y) (-4(7 + y) + 5y * (7 + y)) = 0 ((7 * -4 + y * -4) + 5y * (7 + y)) = 0 ((-28 + -4y) + 5y * (7 + y)) = 0 (-28 + -4y + (7 * 5y + y * 5y)) = 0 (-28 + -4y + (35y + 5y2)) = 0 Combine like terms: -4y + 35y = 31y (-28 + 31y + 5y2) = 0 Solving -28 + 31y + 5y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + -1y)(4 + -5y) = 0Subproblem 1
Set the factor '(-7 + -1y)' equal to zero and attempt to solve: Simplifying -7 + -1y = 0 Solving -7 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = 0 + 7 -1y = 0 + 7 Combine like terms: 0 + 7 = 7 -1y = 7 Divide each side by '-1'. y = -7 Simplifying y = -7Subproblem 2
Set the factor '(4 + -5y)' equal to zero and attempt to solve: Simplifying 4 + -5y = 0 Solving 4 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5y = 0 + -4 -5y = 0 + -4 Combine like terms: 0 + -4 = -4 -5y = -4 Divide each side by '-5'. y = 0.8 Simplifying y = 0.8Solution
y = {-7, 0.8}
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